Question

Find the exact distance between the points (-9, 4) and (-8, 1).

a) √2
b) 5
c) √10
d) 3

Answer 1

The exact distance between the points (-9, 4) and (-8, 1) is calculated using the distance formula, which is the square root of the sum of the squares of differences between their x and y coordinates. The correct answer is √10.

Step-by-step explanation:

To find the exact distance between the points (-9, 4) and (-8, 1), we can use the distance formula:

Distance = √((x2 - x1)² + (y2 - y1)²)

Substituting the given points, we find:

Distance = √((-8 - (-9))² + (1 - 4)²)

Distance = √((1)² + (-3)²)

Distance = √(1 + 9)

Distance = √(10)

Therefore, the correct answer is (c) √10.